
## size 27
TWOCOCYCLES[27] := rec( implemented := 65, size := 27, quandle := [ ] );
TWOCOCYCLES[27].quandle[1] := rec(
  factors := [ ], generators := [  ]
);

TWOCOCYCLES[27].quandle[2] := rec(
  factors := [ 3, 3, 3 ], generators := 
[ [ 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 
      0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 
      0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 
      2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 
      2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 
      1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 
      0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 
      0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 
      2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 
      2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 
      1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 
      1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 
      2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 
      0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 
      0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 
      0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 
      2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 
      2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 
      0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 
      1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 
      0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 
      2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 
      0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 
      2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 
      2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 
      1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 
      1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 
      0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 
      0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 
      1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 
      2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 
      0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 
      0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 
      1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 
      0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 
      0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 
      2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 
      0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 
      0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 
      0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 
      2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 
      2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 
      2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 
      0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 
      1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 
      0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 
      1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 
      2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 
      1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 
      0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 
      0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 
      0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 
      0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 
      2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 
      0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 
      2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 
      2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 
      0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 
      0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
      2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 
      1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 
      1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 
      1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 
      1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 
      2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 
      0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 
      2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 
      1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 
      2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 
      0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 
      1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 
      0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 
      0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 
      2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 
      0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 
      0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 
      0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 
      0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 
      0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[3] := rec(
  factors := [ ], generators := [  ]
);

TWOCOCYCLES[27].quandle[4] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 
      2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 
      2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 
      1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 
      2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 
      2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 
      0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 
      0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 
      1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 
      1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 
      0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 
      1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 
      1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 
      0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 
      0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 
      0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 
      1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 
      2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 
      1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 
      2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 
      2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 
      0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 
      0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 
      0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 
      2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 
      2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 
      2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[5] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 
      1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 
      0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 
      2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 
      1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 
      2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 
      1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 
      0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 
      2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 
      0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 
      0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 
      0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 
      0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 
      2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 
      0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 
      2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 
      1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 
      1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 
      2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 
      1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 
      1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 
      0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 
      2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 
      1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 
      2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 
      0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 
      1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 
      2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[6] := rec(
  factors := [ ], generators := [  ]
);

TWOCOCYCLES[27].quandle[7] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 
      2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 
      1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 
      1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 
      2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 
      0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 
      1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[8] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 
      0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 
      2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 
      1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 
      0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 
      2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 
      2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 
      0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 
      1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 
      1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 
      1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 
      2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 
      1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 
      1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 
      0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 
      1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 
      2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 
      2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 
      1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 
      1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 
      2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 
      1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 
      2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 
      0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 
      0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 
      2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[9] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 
      1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 
      2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 
      1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 
      1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 
      2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 
      2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[10] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 
      0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 
      1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 
      1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 
      1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 
      1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 
      1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 
      0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 
      1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 
      1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 
      1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 
      0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 
      2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 
      2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 
      0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 
      1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 
      2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 
      2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 
      1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 
      1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 
      2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 
      0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 
      2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 
      2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 
      2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 
      0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 
      1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 
      2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 
      0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 
      1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[11] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 
      2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 
      0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 
      0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 
      2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 
      0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 
      0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 
      0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 
      1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 
      0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 
      2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 
      0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 
      1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 
      1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 
      1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 
      1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 
      1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 
      2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 
      1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 
      1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 
      2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 
      0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[12] := rec(
  factors := [ 9 ], generators := 
[ [ 0, 6, 3, 4, 8, 1, 2, 5, 7, 8, 5, 2, 5, 5, 2, 3, 4, 4, 7, 4, 1, 3, 2, 2, 
      1, 7, 7, 0, 0, 0, 8, 1, 4, 2, 5, 7, 2, 8, 5, 2, 2, 8, 3, 4, 4, 1, 7, 4, 
      2, 2, 3, 1, 1, 4, 3, 6, 0, 1, 4, 8, 2, 5, 7, 5, 2, 8, 8, 8, 5, 3, 4, 4, 
      4, 1, 7, 2, 3, 2, 4, 7, 4, 4, 7, 8, 0, 3, 6, 2, 8, 7, 6, 0, 3, 3, 0, 3, 
      7, 5, 2, 1, 8, 4, 6, 0, 6, 3, 6, 0, 4, 8, 7, 6, 0, 3, 8, 8, 1, 0, 3, 6, 
      0, 6, 0, 7, 5, 2, 8, 4, 1, 3, 0, 0, 3, 6, 0, 5, 7, 7, 3, 6, 0, 8, 2, 7, 
      3, 6, 0, 6, 3, 6, 7, 5, 2, 4, 1, 8, 3, 3, 6, 3, 6, 0, 0, 3, 3, 6, 0, 6, 
      0, 4, 5, 7, 7, 7, 4, 7, 7, 5, 0, 3, 2, 2, 5, 2, 2, 2, 6, 0, 4, 3, 6, 6, 
      6, 3, 3, 7, 0, 2, 1, 1, 1, 1, 4, 4, 5, 0, 3, 5, 8, 5, 8, 8, 8, 0, 4, 6, 
      6, 0, 0, 0, 0, 3, 3, 6, 0, 4, 4, 4, 7, 1, 1, 5, 0, 3, 2, 8, 8, 5, 5, 5, 
      4, 6, 0, 3, 3, 0, 3, 0, 6, 2, 5, 7, 0, 6, 3, 5, 7, 7, 7, 2, 8, 6, 0, 6, 
      8, 1, 4, 6, 3, 0, 6, 6, 3, 0, 6, 3, 2, 5, 7, 3, 0, 6, 4, 7, 8, 1, 8, 8, 
      6, 3, 3, 1, 4, 8, 6, 3, 0, 0, 0, 6, 6, 3, 0, 2, 5, 7, 6, 3, 0, 4, 8, 7, 
      7, 8, 2, 0, 0, 3, 4, 8, 1, 6, 3, 0, 8, 5, 8, 8, 2, 5, 4, 4, 3, 1, 8, 4, 
      0, 3, 6, 7, 5, 2, 2, 3, 2, 1, 4, 7, 7, 4, 4, 2, 8, 2, 5, 8, 2, 4, 4, 3, 
      8, 4, 1, 3, 0, 6, 7, 5, 2, 3, 2, 2, 7, 1, 4, 1, 1, 4, 5, 2, 5, 2, 5, 8, 
      4, 4, 3, 4, 1, 8, 0, 0, 0, 7, 5, 2, 2, 2, 3, 4, 7, 1, 7, 1, 7, 7, 1, 1, 
      4, 4, 4, 3, 0, 5, 3, 0, 0, 6, 0, 0, 0, 6, 3, 5, 5, 5, 8, 2, 8, 6, 4, 0, 
      1, 4, 4, 1, 1, 1, 3, 0, 5, 3, 3, 6, 3, 6, 6, 2, 0, 7, 8, 8, 8, 8, 5, 5, 
      4, 0, 6, 4, 7, 7, 7, 7, 7, 3, 0, 5, 6, 0, 6, 0, 3, 3, 5, 4, 0, 2, 2, 2, 
      2, 2, 5, 0, 6, 4, 4, 4, 1, 3, 2, 2, 0, 0, 2, 5, 5, 8, 1, 6, 0, 3, 4, 4, 
      0, 6, 3, 0, 6, 3, 6, 3, 0, 7, 7, 4, 2, 2, 3, 6, 0, 5, 2, 5, 2, 3, 0, 4, 
      3, 4, 4, 3, 0, 6, 6, 3, 0, 6, 3, 0, 1, 1, 7, 2, 3, 2, 6, 3, 2, 2, 8, 8, 
      6, 4, 6, 3, 4, 4, 6, 3, 0, 3, 0, 6, 6, 3, 0, 3, 4, 0, 2, 8, 8, 4, 4, 3, 
      2, 3, 2, 1, 7, 1, 5, 0, 6, 0, 3, 6, 0, 3, 6, 3, 6, 0, 1, 0, 6, 2, 2, 5, 
      4, 4, 3, 3, 2, 2, 7, 4, 7, 2, 0, 0, 3, 6, 0, 6, 0, 3, 3, 6, 0, 6, 6, 4, 
      5, 8, 5, 4, 4, 3, 2, 2, 3, 4, 1, 4, 2, 3, 6, 6, 0, 3, 3, 6, 0, 3, 6, 0, 
      0, 6, 3, 6, 6, 6, 3, 4, 2, 3, 3, 3, 3, 6, 0, 5, 6, 7, 3, 3, 3, 6, 6, 6, 
      0, 0, 0, 6, 6, 6, 3, 3, 3, 7, 6, 5, 6, 6, 6, 0, 6, 3, 2, 4, 3, 6, 6, 6, 
      3, 3, 3, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[13] := rec(
  factors := [ 9 ], generators := 
[ [ 0, 6, 3, 8, 2, 2, 7, 7, 1, 4, 4, 5, 1, 2, 4, 5, 2, 3, 4, 5, 5, 6, 7, 4, 
      8, 5, 7, 7, 0, 2, 2, 1, 0, 8, 7, 0, 7, 7, 8, 4, 5, 7, 8, 5, 6, 2, 2, 1, 
      4, 1, 3, 2, 4, 5, 1, 8, 0, 1, 8, 3, 8, 6, 1, 1, 1, 2, 7, 8, 1, 2, 8, 0, 
      8, 7, 8, 7, 0, 1, 1, 2, 8, 1, 0, 8, 0, 5, 4, 1, 0, 8, 2, 8, 6, 1, 8, 7, 
      7, 1, 8, 1, 8, 2, 2, 1, 8, 7, 3, 1, 7, 2, 0, 2, 0, 7, 7, 2, 0, 8, 5, 3, 
      7, 5, 4, 4, 7, 5, 2, 5, 4, 4, 2, 5, 6, 4, 1, 0, 3, 6, 6, 3, 0, 0, 3, 6, 
      5, 2, 0, 4, 2, 1, 1, 4, 2, 8, 7, 5, 5, 8, 7, 7, 4, 0, 7, 1, 7, 2, 8, 2, 
      0, 0, 0, 2, 5, 0, 3, 7, 3, 5, 5, 0, 2, 6, 6, 4, 7, 0, 0, 4, 4, 5, 7, 3, 
      2, 4, 6, 4, 0, 5, 2, 5, 0, 3, 7, 3, 5, 5, 0, 6, 6, 2, 7, 0, 4, 4, 4, 0, 
      2, 3, 1, 7, 8, 6, 4, 5, 0, 2, 5, 0, 3, 7, 3, 5, 5, 0, 6, 2, 6, 0, 4, 7, 
      4, 0, 4, 5, 7, 4, 5, 8, 3, 5, 7, 4, 0, 2, 7, 2, 7, 0, 0, 2, 7, 4, 5, 2, 
      2, 4, 5, 4, 6, 1, 8, 1, 7, 8, 2, 6, 8, 1, 7, 5, 0, 4, 0, 1, 8, 8, 0, 1, 
      2, 8, 1, 1, 2, 8, 3, 7, 1, 2, 4, 1, 2, 5, 0, 2, 4, 1, 3, 6, 0, 3, 0, 6, 
      6, 3, 0, 5, 7, 8, 8, 5, 7, 4, 7, 0, 5, 4, 7, 7, 7, 8, 6, 5, 8, 1, 2, 0, 
      0, 7, 2, 0, 7, 8, 4, 3, 1, 2, 1, 2, 4, 2, 5, 2, 1, 4, 4, 4, 5, 3, 2, 5, 
      2, 8, 2, 6, 0, 3, 1, 7, 7, 6, 4, 7, 4, 5, 5, 5, 8, 7, 8, 7, 1, 1, 1, 2, 
      0, 8, 2, 8, 1, 3, 8, 1, 0, 1, 6, 8, 7, 1, 0, 8, 8, 7, 2, 1, 8, 7, 3, 3, 
      5, 2, 0, 0, 5, 5, 8, 7, 6, 3, 2, 1, 0, 5, 4, 0, 7, 4, 6, 6, 2, 0, 4, 4, 
      7, 3, 3, 5, 2, 0, 0, 5, 5, 4, 2, 6, 7, 5, 3, 5, 0, 4, 7, 4, 0, 6, 2, 6, 
      4, 4, 0, 7, 3, 3, 5, 2, 0, 0, 5, 5, 8, 2, 2, 1, 7, 7, 0, 0, 0, 4, 0, 7, 
      2, 6, 6, 4, 0, 4, 7, 3, 2, 6, 4, 8, 5, 2, 8, 6, 2, 7, 7, 4, 1, 1, 5, 3, 
      0, 6, 3, 8, 5, 2, 7, 4, 1, 4, 8, 0, 4, 7, 7, 3, 5, 7, 5, 0, 1, 6, 2, 4, 
      2, 5, 2, 3, 0, 6, 2, 8, 5, 1, 7, 4, 0, 6, 6, 7, 6, 5, 6, 4, 5, 3, 3, 0, 
      4, 5, 3, 2, 4, 3, 6, 3, 0, 5, 2, 8, 4, 1, 7, 4, 7, 1, 2, 6, 7, 3, 5, 1, 
      4, 6, 8, 3, 7, 2, 8, 2, 5, 8, 2, 5, 0, 3, 6, 4, 7, 1, 5, 4, 3, 3, 3, 0, 
      3, 4, 2, 6, 7, 5, 6, 0, 6, 5, 4, 6, 5, 8, 2, 6, 0, 3, 1, 4, 7, 2, 6, 4, 
      0, 5, 1, 2, 5, 2, 7, 4, 7, 8, 4, 0, 7, 5, 3, 2, 5, 8, 3, 6, 0, 7, 1, 4, 
      4, 0, 5, 3, 2, 4, 4, 0, 5, 6, 5, 7, 5, 4, 0, 0, 5, 4, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 4, 5, 0, 5, 6, 7, 4, 5, 0, 2, 3, 4, 0, 4, 5, 5, 0, 4, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[14] := rec(
  factors := [ ], generators := [  ]
);
## size 27
TWOCOCYCLES[27] := rec( implemented := 65, size := 27, quandle := [ ] );
TWOCOCYCLES[27].quandle[15] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 
      1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 
      0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 
      1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 
      0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 
      1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 
      2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 
      0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 
      1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 
      0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 
      0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 
      2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 
      1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 
      2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 
      0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 
      1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 
      1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 
      2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 
      1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 
      1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 
      1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 
      1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 
      1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 
      2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 
      1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 
      1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[16] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 
      2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 
      1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 
      0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 
      0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 
      0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 
      0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 
      0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 
      1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 
      2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 
      2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 
      1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 
      2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 
      0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 
      0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 
      2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 
      2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 
      1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 
      1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 
      0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 
      1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 
      2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[17] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 
      0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 
      2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 
      1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 
      2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 
      1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 
      0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 
      0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 
      2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 
      1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 
      0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 
      1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 
      2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 
      1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 
      0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 
      1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 
      1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 
      1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 
      2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 
      0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 
      1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 
      1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 
      1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 
      2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 
      1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 
      1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[20] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 
      2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
      1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 
      1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 
      1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 
      1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[21] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 
      2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 
      2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 
      1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 
      1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 
      0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 
      1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 
      0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 
      1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 
      0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 
      0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 
      0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 
      2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 
      0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 
      0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 
      2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 
      1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 
      0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 
      0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 
      0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 
      0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 
      1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 
      0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 
      2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 
      1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 
      1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 
      0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 
      1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[22] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 
      1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 
      2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 
      2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 
      1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 
      2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 
      1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 
      0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 
      2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 
      1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 
      2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 
      2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 
      0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 
      2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 
      0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 
      2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 
      2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 
      0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 
      2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 
      2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 
      0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[23] := rec(
  factors := [ 3, 3 ], generators := 
[ [ 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 
      2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 
      2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 
      1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 
      1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 
      0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 
      0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 
      0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 
      2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 
      1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 
      2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 
      1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 
      1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 
      1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 
      0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 
      0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 
      1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 
      0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 
      0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 
      1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 
      1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
  [ 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 
      1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 
      2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 
      1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 
      2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 
      1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 
      2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 
      0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 
      2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 
      1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 
      0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 
      2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 
      1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 
      1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 
      0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 
      2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 
      1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 
      0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 
      2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 
      1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 
      0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 
      0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[24] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 
      2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 
      1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 
      0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 
      0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 
      0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 
      0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 
      0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 
      1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 
      1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 
      1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 
      1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 
      2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 
      2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 
      0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 
      2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 
      2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 
      2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 
      0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 
      1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 
      1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 
      1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 
      1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 
      2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 
      1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 
      1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[25] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 
      0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 
      1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 
      2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 
      1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 
      2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 
      2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 
      0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 
      2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 
      1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 
      0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 
      1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 
      2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 
      0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 
      0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 
      0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 
      2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 
      1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 
      0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 
      1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 
      0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 
      1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 
      2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 
      2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 
      2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 
      0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 
      2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 
      0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 
      2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[26] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 
      0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 
      2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 
      1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 
      1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 
      1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 
      0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 
      0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 
      2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 
      1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 
      0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 
      1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 
      1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 
      1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 
      0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 
      0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 
      1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 
      1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 
      1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 
      0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 
      1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 
      0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 
      1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 
      1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 
      2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 
      1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 
      1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[35] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 
      0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 
      2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 
      2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 
      0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 
      0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 
      0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 
      0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 
      1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 
      2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 
      1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 
      0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 
      0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 
      1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 
      1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 
      1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 
      2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 
      2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 
      2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 
      0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 
      1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 
      2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[36] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 
      2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 
      2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 
      0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 
      0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 
      0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 
      0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 
      2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 
      2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 
      1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 
      0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 
      2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 
      1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 
      0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 
      2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 
      1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 
      2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 
      1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 
      2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 
      0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 
      0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 
      1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[37] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 
      1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 
      2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 
      1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 
      2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 
      2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[38] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 
      2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 
      0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 
      2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 
      2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 
      1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 
      1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 
      0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 
      0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 
      0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 
      1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 
      1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 
      0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 
      2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 
      0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 
      2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 
      1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 
      0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 
      2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 
      1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 
      2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 
      0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 
      1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 
      2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 
      1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[39] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 
      2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 
      1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 
      1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 
      2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
      2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[40] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
      1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
      1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 
      0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 
      1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
      1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 
      1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
      2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 
      1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[41] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
      2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 
      1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 
      1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 
      2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 
      1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
      2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
      1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 
      1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[42] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 
      0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 
      2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 
      0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 
      2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 
      2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 
      2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
      0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 
      0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 
      1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 
      0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 
      1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 
      0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 
      0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 
      0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
      1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 
      1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 
      2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 
      2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 
      1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 
      0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 
      1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 
      2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
      1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[43] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 
      0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 
      0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 
      2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 
      1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 
      1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 
      2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 
      0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 
      1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 
      2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 
      1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 
      1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 
      2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 
      0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 
      0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 
      1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
      0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 
      2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
      1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 
      1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 
      1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 
      2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 
      2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 
      1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 
      0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[44] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
      1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 
      0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 
      0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 
      1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 
      2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 
      1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 
      0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 
      1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 
      2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 
      1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 
      2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 
      0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 
      1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 
      0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 
      0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 
      0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 
      2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 
      0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 
      1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 
      2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 
      2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 
      0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 
      1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 
      0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 
      0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[45] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 
      2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 
      1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 
      1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 
      2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 
      0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 
      1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[46] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 
      1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 
      2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 
      2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 
      1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 
      2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 
      2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 
      1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 
      2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 
      2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 
      0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 
      1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 
      2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 
      0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 
      2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 
      1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 
      2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 
      1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 
      2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 
      0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 
      2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 
      2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 
      2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 
      1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 
      2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[53] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 
      2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 
      1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 
      2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 
      2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 
      0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 
      1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 
      2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 
      2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 
      0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 
      0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 
      1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 
      2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 
      2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
      0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 
      2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 
      2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 
      0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[54] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 
      1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 
      1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 
      2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 
      2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 
      1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 
      2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 
      2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 
      0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
      0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 
      2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 
      2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[55] := rec(
  factors := [ 9 ], generators := 
[ [ 0, 1, 8, 1, 1, 6, 3, 8, 8, 8, 4, 1, 0, 0, 1, 4, 6, 5, 0, 2, 1, 7, 3, 1, 
      5, 6, 0, 3, 0, 6, 0, 8, 0, 1, 0, 0, 8, 1, 4, 0, 6, 4, 4, 0, 2, 2, 7, 3, 
      3, 7, 1, 0, 6, 5, 2, 7, 0, 7, 2, 8, 2, 1, 7, 5, 4, 4, 6, 0, 4, 7, 6, 2, 
      7, 0, 5, 7, 7, 6, 0, 2, 0, 1, 2, 0, 0, 2, 7, 8, 0, 7, 4, 0, 6, 2, 2, 0, 
      6, 5, 4, 2, 7, 5, 3, 7, 1, 0, 2, 7, 4, 1, 7, 1, 0, 8, 2, 8, 5, 4, 6, 0, 
      2, 5, 6, 3, 8, 4, 7, 2, 5, 7, 7, 6, 5, 4, 0, 3, 8, 1, 8, 1, 0, 1, 6, 8, 
      1, 0, 0, 5, 2, 6, 6, 8, 1, 2, 2, 1, 7, 3, 1, 7, 6, 5, 2, 1, 1, 8, 7, 8, 
      0, 1, 8, 6, 2, 5, 4, 1, 8, 2, 1, 0, 7, 2, 5, 7, 3, 8, 5, 6, 0, 3, 2, 8, 
      6, 1, 7, 3, 0, 6, 6, 5, 2, 1, 4, 8, 8, 4, 0, 2, 2, 1, 3, 5, 1, 0, 6, 5, 
      4, 0, 0, 0, 0, 5, 2, 7, 0, 0, 2, 2, 4, 4, 5, 2, 4, 6, 2, 7, 5, 5, 7, 6, 
      0, 2, 0, 5, 6, 2, 8, 0, 4, 1, 8, 4, 0, 3, 6, 1, 0, 0, 0, 0, 8, 1, 5, 3, 
      1, 2, 2, 6, 0, 5, 2, 6, 5, 2, 0, 1, 4, 8, 1, 1, 0, 8, 3, 8, 8, 1, 6, 1, 
      8, 3, 7, 5, 2, 7, 6, 5, 0, 2, 0, 2, 2, 6, 4, 4, 5, 4, 7, 2, 0, 2, 7, 1, 
      7, 8, 2, 6, 7, 5, 5, 7, 2, 2, 0, 0, 6, 4, 0, 3, 4, 8, 2, 6, 5, 1, 2, 1, 
      0, 8, 1, 8, 8, 7, 6, 7, 7, 5, 2, 7, 4, 5, 0, 0, 4, 6, 6, 4, 5, 2, 0, 2, 
      0, 4, 0, 2, 0, 7, 0, 5, 0, 1, 7, 3, 5, 7, 2, 2, 0, 7, 0, 1, 0, 6, 1, 8, 
      5, 6, 2, 2, 3, 8, 3, 6, 0, 6, 7, 1, 1, 3, 7, 1, 2, 2, 6, 7, 5, 1, 8, 4, 
      4, 2, 0, 0, 4, 6, 2, 1, 0, 8, 7, 0, 0, 7, 2, 1, 7, 3, 3, 7, 2, 6, 0, 5, 
      4, 8, 1, 4, 5, 6, 0, 1, 0, 8, 3, 1, 1, 8, 6, 8, 0, 1, 1, 3, 7, 1, 2, 0, 
      6, 5, 0, 4, 5, 4, 7, 2, 6, 6, 4, 0, 1, 4, 7, 2, 5, 8, 1, 8, 0, 6, 7, 7, 
      5, 0, 7, 2, 0, 0, 1, 5, 6, 3, 6, 5, 8, 5, 6, 3, 8, 4, 6, 4, 3, 1, 3, 4, 
      0, 3, 6, 6, 6, 3, 6, 3, 3, 4, 4, 4, 2, 4, 8, 4, 4, 2, 0, 1, 5, 1, 5, 7, 
      7, 5, 5, 0, 0, 0, 3, 6, 6, 3, 6, 3, 3, 2, 7, 0, 7, 7, 3, 0, 7, 2, 2, 2, 
      2, 0, 2, 0, 6, 2, 6, 3, 0, 3, 0, 3, 6, 6, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
      0, 3, 7, 7, 7, 7, 0, 7, 7, 3, 0, 3, 0, 3, 6, 6, 6, 0, 1, 0, 5, 7, 1, 7, 
      1, 0, 5, 4, 4, 2, 4, 0, 8, 2, 8, 4, 6, 6, 3, 0, 0, 0, 6, 3, 3, 8, 3, 4, 
      6, 6, 3, 8, 3, 4, 5, 8, 6, 6, 1, 5, 3, 5, 6, 3, 6, 6, 6, 3, 0, 3, 6, 3, 
      1, 7, 8, 5, 8, 7, 8, 7, 3, 1, 6, 2, 6, 2, 1, 4, 1, 4, 6, 3, 0, 6, 3, 0, 
      0, 3, 6, 6, 6, 4, 4, 6, 1, 6, 1, 2, 7, 8, 3, 8, 3, 7, 5, 5, 8, 0, 3, 6, 
      0, 3, 6, 3, 0, 6, 5, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[56] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 
      2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 
      2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 
      2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 
      1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 
      1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 
      1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 
      0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 
      0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 
      0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 
      2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 
      2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 
      2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 
      1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 
      0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 
      0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 
      2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 
      1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 
      1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 
      2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 
      2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[57] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 
      1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 
      1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 
      2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 
      1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 
      1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 
      0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 
      0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 
      0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 
      1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 
      1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 
      2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 
      0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 
      0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 
      0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 
      1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 
      2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 
      1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 
      1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 
      2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 
      0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 
      0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 
      1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 
      2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[58] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 
      2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 
      2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 
      2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 
      1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 
      1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 
      1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 
      0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 
      0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 
      1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 
      2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 
      2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 
      2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 
      2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 
      0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 
      1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 
      0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 
      1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 
      2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 
      0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 
      2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 
      0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 
      0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 
      0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 
      0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 
      2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[59] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 
      2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 
      1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 
      0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 
      0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 
      1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 
      0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 
      0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 
      0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 
      2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 
      2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 
      2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 
      0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 
      2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 
      0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 
      1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 
      2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 
      0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 
      2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 
      0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 
      2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 
      2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 
      1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 
      2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 
      0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 
      1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[60] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 
      2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 
      1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 
      0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 
      1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 
      2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 
      1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 
      0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 
      0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 
      2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 
      1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 
      2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
      1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 
      2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 
      2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[61] := rec(
  factors := [ 3 ], generators := 
[ [ 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 
      0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 
      2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 
      0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 
      2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 
      1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 
      2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 
      0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 
      2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 
      2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 
      0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 
      1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 
      2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 
      2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 
      0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 
      0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 
      1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 
      1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 
      1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 
      2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 
      0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 
      0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 
      0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 
      2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 
      1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 
      2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 
      2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 
      0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
      0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]
);

TWOCOCYCLES[27].quandle[62] := rec(
  factors := [ ], generators := [  ]
);

TWOCOCYCLES[27].quandle[63] := rec(
  factors := [ ], generators := [  ]
);

TWOCOCYCLES[27].quandle[64] := rec(
  factors := [ ], generators := [  ]
);

TWOCOCYCLES[27].quandle[65] := rec(
  factors := [ ], generators := [  ]
);

